Coble surfaces with finite automorphism group

TL;DR

This paper classifies Coble surfaces with finite automorphism groups across various characteristics, identifying exactly nine distinct isomorphism classes, thus advancing understanding of their geometric structure.

Contribution

It provides a complete classification of Coble surfaces with finite automorphism groups in all characteristics except 2, revealing exactly nine isomorphism classes.

Findings

Exactly nine isomorphism classes identified

Classification valid in all characteristics ≠ 2

Advances understanding of Coble surface automorphisms

Abstract

We classify Coble surfaces with finite automorphism group in arbitrary characteristic not equal to 2. There are exactly 9 isomorphism classes of such surfaces.